Nastaescu C., van Oystaeyen F. — Graded Ring Theory :: Электронная библиотека попечительского совета мехмата МГУ

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Nastaescu C., van Oystaeyen F. — Graded Ring Theory

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Название: Graded Ring Theory

Авторы: Nastaescu C., van Oystaeyen F.

Аннотация:

This book is aimed to be a 'technical' book on graded rings. By 'technical' we mean that the book should supply a kit of took of quite general applicability, enabling the reader to build up his own further study of non-commutative rings graded by an arbitrary group. The body of the book. Chapter A, contains: categorical properties of graded modules, localization of graded rings and modules, Jacobson radicals of graded rings, the structure theory for simple objects in the graded sense, chain conditions, Krull dimension of graded modules, homogenization, homological dimension, primary decomposition, and more.....

Язык:

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1982

Количество страниц: 348

Добавлена в каталог: 15.05.2011

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Предметный указатель

Abelian regular ring      260
Almost strongly graded      62
Artin — Rees property      291
Artin — Rees property on the left      300
Bilateral pre-kernel functor      248
Birational algebra      249
Centralizing set of elements      302
Centralizing set of generators for an ideal      302
Co-induced filtration      282
Cocycles      26
Cocycles of first degree      28
Cogenerated torsion theory      134
Cohen — Macaulay module      207
Cohen — Macaulay ring      207
Complete filtration      283
Completely projective ring      212
Completion functor      286
Conjugate of a bimodule      34
Critical module      96
Dehomogenized element      120
Discrete filtration      279
Discrete graded valuation      170
Divisor class group      173
Divisorial ideal      173
Exhaustion functor      282
Exhaustive filtration      279
Factor set      23
Filt-basis      293
Filt-projective module      308
Filtered bimodule      280
Filtered finitely generated      294
Filtered free module      293
Filtered module      278
Filtered morphism of degree p      280
Filtered ring      278
Filtration      278
Filtration degree      280
Finite type (kernel functor)      141
Fractional ideal      172
G-prime      68
Generalized Rees ring      30 92
Globally birational algebra      249
Goldie's graded kernel functor      138
Gorenstein module      207
Gorenstein ring      207
Grade of an ideal      207
Graded abelian regular ring      260
Graded algebraic closure      158
Graded algebraic element      155
Graded Artinian      54
Graded birational algebra      253
Graded biregular ring      271
Graded bounded ring      238
Graded Dedekind ring      179
Graded division ring      38
Graded free      5
Graded fully (left) idempotent      271
Graded fully bounded ring      238
Graded Goldie ring      222
Graded ideal      8
Graded injective      8
Graded integral element      160
Graded kernel functor      132
Graded krull domain      175
Graded Lambek torsion theory      137
Graded left ideal      8
Graded left module      3
Graded left principal ideal ring      34
Graded local ring      198
Graded maximal ideal      198
Graded maximal submodule      52
Graded morphism      3
Graded Noetherian      54
Graded prime kernel functor      151

Graded projective      7
Graded realizable field      158
Graded realized field      158
Graded regular ring      258
Graded ring      1
Graded semisimple      47 52
Graded simple      47 52
Graded supporting module      151
Graded tensor product      12
Graded uniformly simple      47
Graded valuation ring      164
GZ-ring      254
Hereditary torsion theory      130
Homogeneous element (components)      1
Homogenized element (module)      120
I-adic filtration      278
I.B.N. property      33
Idempotent kernel functor      130
Invariant      35
Invariant graded module      44
Invariant ideal      68
Invertible bimodule      17
Invertible ideal      173
Jacobson graded radical      52
Kernel functor      130
Kernel functor of finite type      141
Kernel of a prime      163
Krull dimension      95
Limited (left or right) graded module      79
Mil graded ring      270
Negatively graded      79
Normalizing set of generators      302
O-group      78
Object of quotients      141
Opposite graded ring      1
Ordered group      78
P.I. algebra      231
Perfect torsion theory      147
Polynomial identity      231
Positively graded      79
Pre-kernel functor      248
Primary decomposition for submodules      118
Prime of a ring      163
Property C.P.      212
Property T      147
Property T for rigid kernel functors      148
Radical pre-kernel functor      248
Reduced decomposition      118
Reduced gradation      270
Rees module      92
Rees ring      92
Regular local ring      208
Rigid cogenerated kernel functor      135
Rigid kernel functor      131
Rigid prime kernel functor      152
Rigid torsion theory      131
Semirestricted prime      163
Separated filtration      279
Stable kernel functor      140
Standard polynomial      231
Strict exact sequence      288
Strict filtered inorphism      288
Strongly graded ring      15
Suspension functor      282
Symmetric rigid torsion theory      139
Symmetric torsion theory      139
System of homogeneous parameters      215
T-functor      147
Topologically nilpotent element      312
Torsion theory      130
Trivial filtration      278
Trivially graded      2
Weakly isomorphic in R-gr      43
Zariski central ring      252
ZG-ring      254

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